Abstract
Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this paper, we shall establish the spreading speed for a large class of non-cooperative reaction-diffusion systems and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. Our results are applied to a partially cooperative system describing interactions between ungulates and grass.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 747-783 |
| Number of pages | 37 |
| Journal | Journal of Nonlinear Science |
| Volume | 21 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 2011 |
Keywords
- Non-cooperative systems
- Reaction-diffusion systems
- Spreading speed
- Traveling waves
ASJC Scopus subject areas
- Modeling and Simulation
- General Engineering
- Applied Mathematics